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Finding the Third Proportional to 142,699 and 209,910

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Solution

The third proportional to 142,699 and 209,910 is: 308,777.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,699 : 209,910 = 209,910 : x
  2. Step 2: Convert to fraction form
    142,699/209,910 = 209,910/x
  3. Step 3: Cross multiply
    142,699x = 209,910 × 209,910
  4. Step 4: Simplify right side
    142,699x = 44,062,208,100
  5. Step 5: Solve for x
    x = 44,062,208,100/142,699
  6. Step 6: Final answer
    x = 308,777.27

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.